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Inessa [10]
3 years ago
13

Convert 3.3636 to a fraction. the .3636 is repeating

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

x=3.363636...\qquad\text{multiply both sides by 100}\\\\100x=336.363636...\qquad\text{Make a difference}\\\\100x-x=336.363636...-3.363636...\\\\99x=333\qquad\text{divide both sides by 99}\\\\x=\dfrac{333:9}{99:9}\\\\\boxed{x=\dfrac{37}{11}}\\\\Answer:\ \boxed{3.\overline{36}=\dfrac{37}{11}=3\dfrac{4}{11}}

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To find how much ribbon we used to tie presents, we need to multiply 9 and 0.4.

9 x 0.4 = 3.6.

Diego used 3.6 meters of yard to tie some presents. We can subtract that from 12 to find how much ribbon we have left.

12 - 3.6 = 8.4.

We have 8.4 meters of ribbon to make wreaths.

Now we have to find how many wreaths we can make wiht 8.4 meters of ribbon. We know that each wreath needs 0.6, so we should divide 8.4 by 0.6 to find how many wreaths we can make.

8.4 ÷ 0.6 = 14.

Therefore, we can make 14 wreaths with the 8.4 meters of leftover ribbon.

(Part A's answer is 8.4, and Part B's answer is 14)

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